13395849600 has 192 divisors, whose sum is σ = 50426058240. Its totient is φ = 3061893120.

The previous prime is 13395849559. The next prime is 13395849613. The reversal of 13395849600 is 694859331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13395849600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32472 + ... + 166871.

It is an arithmetic number, because the mean of its divisors is an integer number (262635720).

Almost surely, 2^13395849600 is an apocalyptic number.

13395849600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13395849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213029120).

13395849600 is an abundant number, since it is smaller than the sum of its proper divisors (37030208640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13395849600 is a wasteful number, since it uses less digits than its factorization.

13395849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199377 (or 199360 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13395849600 in words is "thirteen billion, three hundred ninety-five million, eight hundred forty-nine thousand, six hundred".